Arab chief vs adult male

Arab chief and adult male both are nouns.

Word	Noun	Adjective	Verb	Adverb
Arab chief	Yes	No	No	No
adult male	Yes	No	No	No

As nouns, adult male is a hypernym of Arab chief; that is, adult male is a word with a broader meaning than Arab chief:

Other hypernyms of Arab chief include man, ruler, swayer.

Arab chief (noun)	adult male (noun)
the leader of an Arab village or family	an adult person who is male (as opposed to a woman)